The investigation of (REF ) for the homogeneous case \(\xi \equiv 1\) 
has a long history, dating back to the seminal works of Fisher
[1]} and Kolmogorov, Petrovskii and Piscunov
[2]}. The equation has found a plethora of applications,
such as describing the dynamics of a randomly mating diploid population
in a one-dimensional habitat, or also to model flame propagation, see
[3]}.
